COMPOS Syllabus

Quadratic Function
Right-angle Triangles
Coordinate Geometry
Vectors
Solving Equations
Simultaneous Equations
Inequalities
Geometric constructions, loci
Similar and congruent triangles
Sequences, Progressions and Series

Density; Hydrostatics
DC circuits
1D motion
2D motion
Newton's Laws
Pulleys
Energy
Mechanisms: Moments, Levers, Pistons & Gears
Momentum
Thermal physics

The quadratic function
Trigonometric transformations and equations
Basic Integration Skills 
Differential Equations
Exponential and Logarithmic Functions 
Analysis and Graphical Representation of Functions 
Complex Numbers
Matrices and Mappings
3D Geometry
Solving Equations
Solving Inequalities 

Vectors in physics
Equations of Motion
Newton's Laws
Centre of Mass and Statics
Conservation of Momentum
Work, Energy and Power
Electrostatics and Capacitors
Simple Harmonic Motion
Differential Equations in Physics, Damped and Forced Oscillations
Wave Optics
Kinetic Theory of Gas

Complex numbers
Inverse, partial derivatives
Differential Equations
Combinatorics and probability
Infinite sets
Gauss Function, Delta Function, Fourier analysis

Circular motion
Gravity and Orbits
Magnetic Fields
Electromagnetic Induction
RC, LC, LCR Circuits
Thermodynamics